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A117624
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Primes of the form 9n^6 - 804n^5 + 29836n^4 - 588615n^3 + 6509950n^2 - 38263500n + 93363947 for values of n >= 0.
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2
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93363947, 61050823, 38620051, 23498297, 13649371, 7493947, 3835763, 1794301, 743947, 259631, 68947, 10753, 251, 547, 691, 197, 43, 151, 3347, 25801, 113947, 367883, 971251, 2227597, 4603211, 8776447, 15693523, 26630801
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| This polynomial generates 28 consectutive prime numbers for n=0 to n=27.
In n^2+n+41, substitute n -> 3*n^3-134*n^2+1980*n-9663.
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REFERENCES
| P. Ribenboim, The Book of Prime Number Records. Springer-Verlag, NY, 2nd ed., 1989, p. 137.
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LINKS
| Prime Puzzles, Puzzle 232
Eric Weisstein's World of Mathematics, Prime-generating polynomial
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EXAMPLE
| 9(1)^6-804(1)^5+29836(1)^4-588615(1)^3+6509950(1)^2-38263500(1)+93363947=61050823, a prime number
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MATHEMATICA
| f[n_] := 9n^6-804n^5+29836n^4-588615n^3+6509950n^2-38263500n+93363947; f[Select[Range[0, 100], PrimeQ[f[ # ]] &]] - Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Apr 16 2006
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CROSSREFS
| Cf. A005846.
Sequence in context: A186051 A205665 A205465 * A147527 A136634 A033625
Adjacent sequences: A117621 A117622 A117623 * A117625 A117626 A117627
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KEYWORD
| easy,nonn
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AUTHOR
| Parviz Afereidoon (afereidoon(AT)gmail.com), Apr 08 2006
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EXTENSIONS
| Edited by Don Reble (djr(AT)nk.ca), Apr 14 2006
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